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Solution


Q.

Let 729, 81, 9, 1, ... be a sequence and Pn denote the product of the first n terms of this sequence.

If 2∑n=140(Pn)1n=3α-13β and gcd(α,β)=1, then α+β is equal to:               [2026]
1 74  
2 76  
3 75  
4 73  

Ans.

(4)